APES Unit 3 Populations Math Practice

Populations Math Practice

Unit 3

​Percent Change

Percent change is a way to measure how much a value has increased or decreased compared to its original value.

Multiple Choice

Find the percent of change from 10 inches to 14 inches.

• 4% Increase

• 29% Increase

• 40% Increase

• 3% Increase

Multiple Choice

Find the percent of change from $52 to $125. Round your answer to the nearest whole percent.

• 140% Increase

• 73% Increase

• 58% Increase

• 104% Increase

Multiple Choice

What is the percent change: 234.98 to 324.77

• -0.38%

• 0.38%

• 38%

• -38%

Multiple Choice

Scientists are closely monitoring caribou populations to examine the effect of global climate change on habitat. The maximum population size for a herd of caribou based on the amount of habitat was 500,000 . A herd of caribou currently has a population size of 198,000 caribou as a result of habitat loss. Which of the following methods should be used to determine the percent change between the maximum population and the current population for this herd of caribou?

• (500,000 + 198,000) / 198,000 x 100

• (198,000 - 500,000) / 500,000 x 100

• 198,000 / 500,000 x 1,000

• (500,000 - 198,000) / 100

​https://www.youtube.com/watch?v=9LsNIzb8ihw

​Population Growth Rate

The most common way to express population growth is as a percentage. In the equation for population growth rate, we subtract deaths from births and divide by the total population then multiply by 100.

The crude birth rate (CBR) is the total number of births per year per 1,000 people and the crude

death rate (CDR) is the total number of deaths per year per 1,000 people. When given the CBR and the CDR use the following equation.

Multiple Choice

((Births-deaths)/Total population)(100)=

• r (% growth rate)

• Doubling time

Multiple Choice

((Crude birth rate-crude death rate)/1000)(100)=

• r (% growth rate)

• Doubling time

• Death rate

Multiple Choice

(Deaths/Total population)(1000)=

• Crude death rate

• Crude Birth rate

• Growth Rate

• death rate

Multiple Choice

(Births/total population)(1000)=

• Crude birth rate

• Crude death rate

• Growth rate

Multiple Choice

(((births+immigration)-(deaths+emigration))/total population)(100)=

• r (% growth rate)

• Doubling time

• Crude death rate

Multiple Choice

Calculate the growth rate of a population that has a CBR of 7 per 1,000 and a CDR of 9 per 1,000.

• 1.6%

• -1.6%

• 0.2%

• -0.2%

Multiple Choice

Calculate the growth rate of a population that has a CBR of 10 per 1,000 and a CDR of 2 per 1,000. Immigration is 5 per 1,000 and emigration is 7 per 1,000.

• 1.0%

• -1.0%

• 0.6%

• -0.6%

Multiple Choice

If a city with a population 10,000 experiences 100 births, 40 deaths, 10 immigrants, and 30 emigrants in the course of a year, what is its net annual percentage growth rate?

• 0.4%

• 0.8%

• 4.0%

• 8.0%

Multiple Choice

If a country has a crude birth rate of 24 per 1,000 and a crude death rate of 8 per 1,000, the natural annual percent increase of its population is

• 0.6%

• 1.6%

• 3%

• 16%

​https://www.youtube.com/watch?v=9LsNIzb8ihw

Doubling Time: The Rule of 70

Multiple Choice

(70/% growth rate)=

• Time it will take for population to double

• Tripling time

• Growth rate

Multiple Choice

In 2012, there were 20 births per 1,000 people and 5 deaths per 1,000 people in Peru. Calculate the approximate doubling time of Peru's populaiton.

• 5 years

• 15 years

• 47 years

• 72 years

Multiple Choice

The town of Fremont has a population of 2,000. In 2019, the town has 50 deaths, 20 immigrants, and 30 emigrants. The town's population growth rate is 4.5%. Calculate the approximate doubling time of Fremont.

• 16 years

• 22 years

• 45 years

• 88 years

Fill in the Blank

Loboville is an island of 4000 square miles off the coast ot Los Amigos. There are currently 250,000 inhabitants of Loboville. Last year, there were 12,000 new children born and 10,000 people were recorded as deceased. Calculate the doubling time for Loboville (round to the nearest whole number).